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22 September, 16:57

The positions of the digits of a certain two-digit number are swapped. The difference between the original two-digit number and the new two-digit number is 54. The ones digit of the original number is 3 more than twice the tens digit. What is the original two-digit number?

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  1. 22 September, 20:21
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    Step-by-step explanation:

    let the digit at unit place be x

    and digit at ten's place be y

    then number=10y+x

    when the digits are swapped number=10x+y

    also x = 2y+3

    so 10x+y - (10y+x) = 54

    10 x+y-10 y-x=54

    9x-9y=54

    x-y=6

    2y+3-y=6

    y=3

    x=2*3+3=9

    number=10*9+3=93
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